Greatest Common Factor of 7463/31, 6547/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7463/31, 6547/199

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7463/31,6547/199

Given fractions are 7463/31,6547/199

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7463,6547

Greatest Common Factor of Numerators i.e. GCF of 7463,6547 is 1 .

LCM of Denominators means LCM of 31,199 as per the given fractions.

LCM of 31,199 is 6169 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7463,6547

GCF of Fractions 7463/31,6547/199 is 1/6169

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7463,6547 By Matching Biggest Common Factor Method

Greatest Common Factor of 7463,6547 By Matching Biggest Common Factor Method

Factors of 7463

List of positive integer factors of 7463 that divides 7463 without a remainder.

1,17,439,7463

Factors of 6547

List of positive integer factors of 6547 that divides 6547 without a remainder.

1,6547

Greatest Common Factor

We found the factors 7463,6547 . The biggest common factor number is the GCF number.
So the greatest common factor 7463,6547 is 1.

Lets's calculate LCM of 31,199

Given numbers has no common factors except 1. So, there LCM is their product i.e 6169

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6169

Therefore, the GCF of Fractions 7463/31,6547/199 is 1/6169

Least Common Multiple of 31,199 with GCF Formula

Least Common Multiple of 31,199 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 31,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,199) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,199) x common factors =1 x 1 = 1

LCM(31,199) = ( 31 × 199 ) / 1

LCM(31,199) = 6169 / 1

LCM(31,199) = 6169


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7463/31, 6547/199

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7463/31, 6547/199?

Answer: GCF of Numerators as per given numbers 7463/31, 6547/199 is

GCF of Numerators i.e. for 7463,6547 is 1

LCM of denominators i.e. for 31,199 is 6169.

Thus, GCF of Fractions is 1/6169.Finally, GCF of Fractions for 7463/31, 6547/199 is 1/6169.